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ÎÄÕÂÌâÄ¿ LMI-Based Stability Criterion for Impulsive CGNNs via Fixed Point Theory ×÷Õß Xiongrui Wang, Ruofeng Rao, Shouming Zhong ÆÚ¿¯ Mathematical Problems in Engineering Äê 2015 ÆÚ¾í Ò³Âë Volume 2015, Article ID 281681, 10 pages È«ÎÄÁ´½Ó https://dx.doi.org/10.1155/2015/281681 |
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sunshan4379
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zh09: ½ð±Ò+10 2016-12-25 22:30:03
lazy½õϪ: LS-EPI+1 2016-12-26 09:45:51
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zh09: ½ð±Ò+10 2016-12-25 22:30:03
lazy½õϪ: LS-EPI+1 2016-12-26 09:45:51
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LMI-Based Stability Criterion for Impulsive CGNNs via Fixed Point Theory ×÷Õß:Wang, XR (Wang, Xiongrui)[ 1,2 ] ; Rao, RF (Rao, Ruofeng)[ 2 ] ; Zhong, SM (Zhong, Shouming)[ 3 ] MATHEMATICAL PROBLEMS IN ENGINEERING ÎÄÏ׺Å: 281681 DOI: 10.1155/2015/281681 ³ö°æÄê: 2015 ²é¿´ÆÚ¿¯ÐÅÏ¢ ÕªÒª Linear matrices inequalities (LMIs) method and the contraction mapping theorem were employed to prove the existence of globally exponentially stable trivial solution for impulsive Cohen-Grossberg neural networks (CGNNs). It is worth mentioning that it is the first time to use the contraction mapping theorem to prove the stability for CGNNs while only the Leray-Schauder fixed point theorem was applied in previous related literature. An example is given to illustrate the effectiveness of the proposed methods due to the large allowable variation range of impulse. ¹Ø¼ü´Ê KeyWords Plus:GROSSBERG NEURAL-NETWORKS; TIME-VARYING DELAYS; EXPONENTIAL STABILITY; DIFFERENTIAL-EQUATIONS ×÷ÕßÐÅÏ¢ ͨѶ×÷ÕßµØÖ·: Rao, RF (ͨѶ×÷Õß) Chengdu Normal Univ, Dept Math, Chengdu 611130, Peoples R China. µØÖ·: [ 1 ] Yibin Univ, Dept Math, Yibin 644007, Peoples R China [ 2 ] Chengdu Normal Univ, Dept Math, Chengdu 611130, Peoples R China ÏÔʾÔöÇ¿×éÖ¯ÐÅÏ¢µÄÃû³Æ [ 3 ] Univ Elect Sci & Technol China, Sch Math Sci, Chengdu 610054, Peoples R China µç×ÓÓʼþµØÖ·:ruofengrao@163.com »ù½ð×ÊÖúÖÂл »ù½ð×ÊÖú»ú¹¹ ÊÚȨºÅ Scientific Research Fund of Science Technology Department of Sichuan Province 2012JY010 Sichuan Educational Committee Science Foundation 08ZB002 12ZB349 14ZA0274 ²é¿´»ù½ð×ÊÖúÐÅÏ¢ ³ö°æÉÌ HINDAWI PUBLISHING CORP, 410 PARK AVENUE, 15TH FLOOR, #287 PMB, NEW YORK, NY 10022 USA Àà±ð / ·ÖÀà Ñо¿·½Ïò:Engineering; Mathematics Web of Science Àà±ð:Engineering, Multidisciplinary; Mathematics, Interdisciplinary Applications ÎÄÏ×ÐÅÏ¢ ÎÄÏ×ÀàÐÍ:Article ÓïÖÖ:English Èë²ØºÅ: WOS:000365524400001 ISSN: 1024-123X eISSN: 1563-5147 ÆÚ¿¯ÐÅÏ¢ Impact Factor (Ó°ÏìÒò×Ó): Journal Citation Reports® ÆäËûÐÅÏ¢ IDS ºÅ: CX2KA Web of Science ºËÐĺϼ¯ÖÐµÄ "ÒýÓõIJο¼ÎÄÏ×": 21 Web of Science ºËÐĺϼ¯ÖÐµÄ "±»ÒýƵ´Î": 0 |

2Â¥2016-12-25 15:56:48
sunshan4379
°æÖ÷ (ÎÄ̳¾«Ó¢)
- Ó¦Öú: 218 (´óѧÉú)
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- ºì»¨: 419
- ɳ·¢: 1036
- Ìû×Ó: 17124
- ÔÚÏß: 4575.5Сʱ
- ³æºÅ: 2420830
- ×¢²á: 2013-04-16
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3Â¥2016-12-25 15:57:00









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